25c^2-10cf+f^2=

Solution for 25c^2-10cf+f^2= equation:

Simplifying
25c2 + -10cf + f2 = 0

Reorder the terms:
-10cf + 25c2 + f2 = 0

Solving
-10cf + 25c2 + f2 = 0

Solving for variable 'c'.

Factor a trinomial.
(5c + -1f)(5c + -1f) = 0

Subproblem 1
Set the factor '(5c + -1f)' equal to zero and attempt to solve:

Simplifying
5c + -1f = 0

Solving
5c + -1f = 0

Move all terms containing c to the left, all other terms to the right.

Add 'f' to each side of the equation.
5c + -1f + f = 0 + f

Combine like terms: -1f + f = 0
5c + 0 = 0 + f
5c = 0 + f
Remove the zero:
5c = f

Divide each side by '5'.
c = 0.2f

Simplifying
c = 0.2f
Subproblem 2
Set the factor '(5c + -1f)' equal to zero and attempt to solve:

Simplifying
5c + -1f = 0

Solving
5c + -1f = 0

Move all terms containing c to the left, all other terms to the right.

Add 'f' to each side of the equation.
5c + -1f + f = 0 + f

Combine like terms: -1f + f = 0
5c + 0 = 0 + f
5c = 0 + f
Remove the zero:
5c = f

Divide each side by '5'.
c = 0.2f

Simplifying
c = 0.2f
Solution
c = {0.2f, 0.2f}